Effect of Luxury Tax on Consumption
Government economists of a developing country determined that the purchase of imported perfume is related to a proposed "luxury tax" by the following formula where N(x) measures the percentage of normal consumption of perfume when a "luxury tax" of x% is imposed on it.
N(x) =
10,000 − 40x − 0.02x2 |
(0 ≤ x ≤ 200)
Find the rate of change of N(x) for taxes of 45%, 100%, and 130%. (Round your answers to three decimal places.)
1.45% tax consumption/percentage increase in tax
2. 100% tax consumption/percentage increase in tax
3.130% tax consumption/percentage increase in tax
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